NDLI: Onsager-Machlup Theory for Nonequilibrium Steady States and Fluctuation Theorems

Content Provider	Springer Nature Link
Author	Taniguchi, Tooru Cohen, E. G. D.
Copyright Year	2006
Abstract	A generalization of the Onsager-Machlup theory from equilibrium to nonequilibrium steady states and its connection with recent fluctuation theorems are discussed for a dragged particle restricted by a harmonic potential in a heat reservoir. Using a functional integral approach, the probability functional for a path is expressed in terms of a Lagrangian function from which an entropy production rate and dissipation functions are introduced, and nonequilibrium thermodynamic relations like the energy conservation law and the second law of thermodynamics are derived. Using this Lagrangian function we establish two nonequilibrium detailed balance relations, which not only lead to a fluctuation theorem for work but also to one related to energy loss by friction. In addition, we carried out the functional integral for heat explicitly, leading to the extended fluctuation theorem for heat. We also present a simple argument for this extended fluctuation theorem in the long time limit.
Starting Page	1
Ending Page	41
Page Count	41
File Format	PDF
ISSN	00224715
Journal	Journal of Statistical Physics
Volume Number	126
Issue Number	1
e-ISSN	15729613
Language	English
Publisher	Springer US
Publisher Date	2006-12-22
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	nonequilibrium Onsager-Machlup theory functional integration fluctuation theorems nonequilibrium steady state thermodynamics nonequilibrium detailed balance inertial effects Quantum Physics Physical Chemistry Mathematical and Computational Physics Statistical Physics
Content Type	Text
Resource Type	Article
Subject	Statistical and Nonlinear Physics Mathematical Physics

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